Answer:
The ratio m_2/m_1 of the masses is 9.745
Explanation:
Formula for frequency when mass m_1 is hung on the spring:
where:
k is the spring constant
Formula for frequency when mass m_2 is hung on the spring along with m_1:
where:
k is the spring constant.
In order to find ratio m_2/m_1, Divide the above equations:
On Solving the above equation:
The ratio m_2/m_1 of the masses is 9.745
Explanation:
The given data is as follows.
mass (m) = 0.160 kg, spring constant (k) = 8 n/m,
Maximum speed () = 0.350 m/s
Formula for angular frequency is as follows.
= 7.07 rad/sec
(a) Formula to calculate the amplitude is as follows.
A =
=
= 0.05 m
Hence, value of amplitude is 0.05 m.
(b) Displacement = 0.030 m
Formula for mechanical energy is as follows.
M.E =
Putting the values into the above formula as follows.
M.E =
=
= Joule
For x = 0.03,
As, P.E =
=
=
Hence, calculate the kinetic energy as follows.
K.E = M.E - P.E
= ( -
) J
= J
Thus, we can conclude that kinetic energy of the puck when the displacement of the glider is 0.0300 m is J.
Answer:
4.351968e+17 seconds
Explanation:
So I googled age of the universe and it says 13.8 billion years.
you'll have to do some conversions:
in one year, there are 365 days. in one day, there are 24 hours. in one hour, there are 3600 seconds.
so you have to add in the current age of the universe to that equation:
arranged so that the proper "units" will read as "x seconds" at the end of the equation.
then you do the math to find x:
13.8 billion x 365 x 24 x 3600 = 4.351968e+17 seconds.
which would be 435,196,800,000,000,000 seconds
Hope this helps :)